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Finding the Fourth Proportional to 271,892.20, 407,838.30 and 267,226.60

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Solution

The fourth proportional to 271,892.20, 407,838.30 and 267,226.60 is: 400,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,892.20 : 407,838.30 = 267,226.60 : x
  2. Step 2: Convert to fraction form
    271,892.20/407,838.30 = 267,226.60/x
  3. Step 3: Cross multiply
    271,892.20x = 407,838.30 × 267,226.60
  4. Step 4: Simplify right side
    271,892.20x = 108,985,242,258.78
  5. Step 5: Solve for x
    x = 108,985,242,258.78/271,892.20
  6. Step 6: Final answer
    x = 400,839.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.